Answer:
The inverse of this equation would be y =
Step-by-step explanation:
To find the inverse of any equation, start by switching the y and x values. Then solve for the new y value. That equation will be your inverse.
y = 7x^2 - 3
x = 7y^2 - 3
x + 3 = 7y^2
= y^2
= y
Answer:
Maximum profit is $87 when 3 blenders and 11 mixers are produced.
Step-by-step explanation:
let blender is represented by and and mixer by
.
total time to deliver parts = 24 hrs
total time to assemble = 30 hrs
time taken by each blender to deliver parts = 1 hr
time taken by each mixer to deliver parts = 2 hr
time taken by blenders in final assembling= 2 hr
time taken by mixers in final assembling = 3 hr
Each blender produced nets the firm= $7
Each mixer produced nets the firm= $6
Using this all data linear system of equation will be:
profit function:
Coordinate points obtained from (1) are (0,12) and (24,0)
Coordinate points obtained from (2) are (0,10) and (15,0)
plotting these on graph
points lying in feasible region are:
A(0,0)
B(0,10)
C(3,11)
D(12,0)
substituting these points in (3) to find the maximum profit:
for A (0,0)
z = 0
for B (0,10)
z = 60
for C (3,11)
z = 87
for D (12,0)
z=84
So maximum profit is $87 when 3 blenders and 11 mixers are produced.
Answer:
or
Step-by-step explanation:
Let
x ----> the additional pounds of plant food needed for the landscaper
we know that
The additional pounds of plant food needed for the landscaper plus the pounds in his truck plus the pounds in his shop must be equal to the total pounds of plant food needed
so
The linear equation that represent this problem is
Convert mixed number to an improper fractions
Substitute in the expression above
solve for x
Multiply by (4*6) both sides to remove the fractions
Combine like terms left side
subtract 46 both sides
Divide by 24 both sides
simplify
Convert to mixed number